3.44 is what percent of 3.735 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 3.735 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 3.735, so we can write it down as 100%=3.735.
4. We know, that x% equals 3.44 of the output value, so we can write it down as x%=3.44.
5. Now we have two simple equations:
1) 100%=3.735
2) x%=3.44
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=3.735/3.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.44 is what percent of 3.735

100%/x%=3.735/3.44
(100/x)*x=(3.735/3.44)*x       - we multiply both sides of the equation by x
100=1.0857558139535*x       - we divide both sides of the equation by (1.0857558139535) to get x
100/1.0857558139535=x
92.101740294511=x
x=92.101740294511

now we have:
3.44 is 92.101740294511% of 3.735